Brane Models with a Ricci-Coupled Scalar Field

dc.creatorBogdanos, C.
dc.creatorDimitriadis, A.
dc.creatorTamvakis, K.
dc.date2006-04-25
dc.date.accessioned2026-07-07T10:46:30Z
dc.date.available2026-07-07T10:46:30Z
dc.descriptionWe consider the problem of a scalar field, non-minimally coupled to gravity through a $-ξϕ^{2}R$ term, in the presence of a Brane. Exact solutions, for a wide range of values of the coupling parameter $ξ$, for both $ϕ$-dependent and $ϕ$-independent Brane tension, are derived and their behaviour is studied. In the case of a Randall-Sundrum geometry, a class of the resulting scalar field solutions exhibits a folded-kink profile. We go beyond the Randall-Sundrum geometry studying general warp factor solutions in the presence of a kink scalar. Analytic and numerical results are provided for the case of a Brane or for smooth geometries, where the scalar field acts as a thick Brane. It is shown that finite geometries with warp factors that asymptotically decrease exponentially are realizable for a wide range of parameter values. We also study graviton localization in our setup and find that the localizing potential for gravitons with the characteristic volcano-like profile develops a local maximum located at the origin for high values of the coupling $ξ$.
dc.description20 pages, 14 figures
dc.identifierhttps://arxiv.org/abs/hep-th/0604182
dc.identifierhttp://arxiv.org/abs/hep-th/0604182
dc.identifierPhys.Rev.D74:045003,2006
dc.identifierdoi:10.1103/PhysRevD.74.045003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/183252
dc.subjectHigh Energy Physics - Theory
dc.titleBrane Models with a Ricci-Coupled Scalar Field
dc.typetext

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